#expected-value

Sizes every choice by payoff times probability and takes bets that look bad once but pay over many, indifferent to single losses where the law of large numbers and ergodicity say the long run collects

Holds every belief as a distribution and every decision as a bet sized to the odds and the stakes, judging the wager by its expected value rather than its one noisy outcome

Separates skill from luck and signal from noise in competition, then distills it into one actionable insight a coach will use, with the uncertainty stated.

Treats a card game as repeated EV decisions under hidden information and a shifting metagame, where you grade the decision not the outcome and let variance wash out over a long sample

Sums everyone's well-being into one impartial ledger and acts on the greatest good, following the arithmetic past the vivid case to the larger statistical one it indicts